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LenaWriter [7]
4 years ago
15

What is the arc length of a circle that has an 8 inch radius and a central angle that is 95 degrees? Use 3.15 for pi and round y

our answer to the nearest hundredth. (5 points)
Mathematics
1 answer:
gladu [14]4 years ago
7 0

Answer:

Arc length = 13.26 in

Step-by-step explanation:

The arc length of a circle can calculated by the equation:

Arc length = 2πr(C / 360)

where r is the radius and C is the central angle.

Therefore, the arc length of this circle should be calculated as follows:

Arc length = 2π(8)(95 / 360)

Arc length = 13.26 in

You might be interested in
What is the maximum volume in cubic inches of an open box to be made from a 10- inch by 20-inch piece of cardboard by cutting ou
Mekhanik [1.2K]

Answer:

192.5 in³

Step-by-step explanation:

The cardboard is 10 by 20 before removing a square from each end. Assuming that the square is x inches wide. Therefore, the 20 in side gets reduced by x inches on both sides, or say it becomes 20 - 2x inches. On the other hand, the 10 in side is also reduced by 2x. The x value we get happens to be the height of the box when the sides are folded up.

Thus the volume V = lbh =

V = (20-2x)*(10-2x)*(x)

V = 4x³ - 60x² + 200x

On differentiating, we have dv/dx to be

dv/dx = 12x² - 120x + 200

Using general formula to find the roots of this equation, we can solve that x = 7.886 and x = 2.113

This roots we got are possible values of x, the square we cut. Since 7.886 * 2 = 15.772 inches, this is more than the 10 inch side, henceforth x = 2.113 inches.

You cut 2.113 inches from each corner to obtain the maximum volume.

The sizes of the cubes are

20 - (2 * 2.113) = 15.774

10 - (2 * 2.113) = 5.774

2.113

The volume of the cube is 15.774 * 5.774 * 2.113 = 192.5 cubic inches.

8 0
3 years ago
Find the missing side
Romashka-Z-Leto [24]
Hi there!
The question here is basically asking us to use ratios to find the length of the missing side. To do this, we must first construct a ratio. The best one would be - 
\frac{84}{12} = \frac{56}{x}
Now, just cross multiply and solve for x.
\frac{84}{12} = \frac{56}{x}
84x = 672
x = 8
Therefore, the length of the missing side would be 8. Hope this helped!
5 0
4 years ago
Read 2 more answers
PleAsE hElP WITh mY irEaDy
saw5 [17]

Answer: 7⁴, 7 to the fourth power, 7x7x7x7

5 0
3 years ago
Read 2 more answers
This is related to my grade
spin [16.1K]
It depends on the weight of the assignment in the class
8 0
3 years ago
Using the diagram, find the measure of the angle indicated in bold.
muminat
I believe it would be C not 100% sure but hope this helped! :)
8 0
3 years ago
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